Matematik Bölümü Yayın Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/413

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Now showing 1 - 10 of 126
  • Article
    Citation - WoS: 10
    Citation - Scopus: 14
    Variable Λ-Central Morrey Space Estimates for the Fractional Hardy Operators and Commutators
    (Hindawi Ltd, 2022) Asim, Muhammad; Jarad, Fahd; Hussain, Amjad
    This paper aims to show that the fractional Hardy operator and its adjoint operator are bounded on central Morrey space with variable exponent. Similar results for their commutators are obtained when the symbol functions belong to lambda-central bounded mean oscillation (lambda-central BMO) space with variable exponent.
  • Article
    Citation - WoS: 16
    Citation - Scopus: 22
    Some Fixed Point Results for Tac-Type Contractive Mappings
    (Hindawi Ltd, 2016) Tas, Kenan; Ansari, Arslan Hojat; Chandok, Sumit
    We prove some fixed point results for new type of contractive mappings using the notion of cyclic admissible mappings in the framework of metric spaces. Our results extend, generalize, and improve some well-known results from literature. Some examples are given to support our main results.
  • Article
    Citation - WoS: 1
    Citation - Scopus: 2
    N-Dimensional Fractional Frequency Laplace Transform by the Inverse Difference Operator
    (Hindawi Ltd, 2020) Xavier, G. Britto Antony; Jarad, Fahd; Meganathan, M.; Abdeljawad, Thabet
    With the study of extensive literature on the Laplace transform with one and two variables and its properties, applications are available, but there is no work onn-dimensional Laplace transform. In this research article, we definen-dimensional fractional frequency Laplace transform with shift values. Several theorems are derived with properties of the Laplace transform. The results are numerically analyzed and discussed through MATLAB.
  • Article
    Existence of Unique Solution of Urysohn and Fredholm Integral Equations in Complex Double Controlled Metric Type Spaces
    (Hindawi Ltd, 2022) Sarwar, Muhammad; Rahmat, Gul; Jarad, Fahd; Ahmad, Sahibzada Waseem
    Complex Urysohn integral equations and complex Fredholm integral equation of the second kind have intensified the attention of appreciable researchers to their solution due to their comprehensive applications. This study is devoted to the existence and uniqueness of solution to these integral equations in the setting of complete complex double controlled metric spaces via fixed point theory. For this motive, a fixed point result together with a numerical example for the convergence behavior of operator to the fixed point is analyzed in the context of the quoted metric spaces.
  • Article
    Citation - WoS: 9
    Citation - Scopus: 11
    Effect of Diffusion-Thermo on Mhd Flow of a Jeffrey Fluid Past an Exponentially Accelerated Vertical Plate With Chemical Reaction and Heat Generation
    (Hindawi Ltd, 2022) Nisa, Zaib Un; Asjad, Muhammad Imran; Nazar, Mudassar; Jarad, Fahd; Shafique, Ahmad
    In many flow phenomenons of fluid with medium molecular weight, the energy flux is effected due to the inhomogeneity of concentration of mass. This contribution of the concentration to the energy flux is considered as diffusion-thermo effect or Dufour effect. In this research article the diffusion-thermo effect is addressed for the magnetohydrodynamics (MHD) flow of Jeffrey's fractional fluid past an exponentially accelerated vertical plate with generalized thermal and mass transports through a porous medium. For the generalization of the thermal and mass fluxes the constant proportional Caputo (CPC) fractional derivative is utilized. The governing of this generalized flow are reduced to non-dimensional forms and then solved semi analytically by Laplace transform. In additions the physical aspects of flow and material parameters especially the effect of Du and fractional parameters are discussed by sketching the graphs. From the graphical illustration, it is concluded that in the presence of Dufour effect flow speeds up. Moreover, a comparison between fractionalized and ordinary velocity fields is also drawn and it is also observed that fractional model with constant proportional derivative is of the more decaying nature as compare to the model contracted with classical Caputo and Caputo fractional derivatives.
  • Article
    Citation - WoS: 7
    Citation - Scopus: 8
    Convergence of Generalized Quasi-Nonexpansive Mappings in Hyperbolic Space
    (Hindawi Ltd, 2022) Rashid, Maliha; Jarad, Fahd; Kalsoom, Amna; Saleem, Naeem
    In this article, we consider a wider class of nonexpansive mappings (locally related quasi-nonexpansive) than monotone nonexpansive mappings. We obtained the convergence of fixed point for quasi rho-preserving locally related quasi-nonexpansive mappings in hyperbolic space. An iterative process is also used to obtain the convergence results for this mapping. Fixed point is approximated numerically in a nontrivial example by using Matlab.
  • Article
    Citation - WoS: 2
    Citation - Scopus: 6
    Common Fixed Point Theorems on Tricomplex Valued Metric Space
    (Hindawi Ltd, 2022) Haq, Absar Ul; Gnanaprakasam, Arul Joseph; Baloch, Imran Abbas; Jarad, Fahd; Mani, Gunaseelan
    In this paper, we introduce the notion of tricomplex valued metric space and prove some common fixed point theorems. The presented results generalize and expand some of the literature well-known results. We also explore some applications of our key results.
  • Article
    Citation - WoS: 8
    Citation - Scopus: 8
    Analysis of Natural Convection in Nanofluid Flow Through a Channel With Source/Sink Effect
    (Hindawi Ltd, 2022) Sadiq, Kashif; Jarad, Fahd; Al Mesfer, Mohammed K.; Danish, Mohd; Yaqoob, Sonia; Siddique, Imran
    In this study, the natural convection nanofluids flow through a channel formed by two vertical parallel plates having distance d between them has been examined under the influence of the ramped velocity. Sodium alginate is considered as base fluid, and nanoparticles of titania (TiO2) and alumina (Al2O3) are added to it. Analytical and semianalytical results for temperature and velocity profiles are obtained with Laplace transform and inverse Laplace algorithms (Tzou, Stehfest, Talbot, Honig and Hirdes, and Fourier series), respectively. Furthermore, the impacts of nanoparticles, Prendtl number, heat absorption, and time on velocity and temperature are drawn graphically and discussed. The outcomes show that the high thermal conductivity of particles increases the temperatures, and the high density of particles decreases the velocities of the nanofluids. The current findings are compared to previous findings in the literature. In the tables, the effect of volume fraction on Nusselt numbers and skin frictions is explored.
  • Article
    Citation - WoS: 12
    Citation - Scopus: 18
    An Approach of Decision-Making Under the Framework of Fermatean Fuzzy Sets
    (Hindawi Ltd, 2022) Ahsan, Muhammad; Jarad, Fahd; Altunok, Taner; Sindhu, Muhammad Sarwar; Siddique, Imran
    Because of its influence on various elements of human life experiences and conditions, the building industry is a significant business. In the recent past, environmental considerations have been incorporated in the design and planning stages of building supply chains. The process of evaluating and selecting suppliers is one of the most important issues in supply chain management. A multicriteria decision-making (MCDM) problem can be utilized to handle such issues. The goal of this research is to present a new and efficient technique for selecting suppliers with ambiguous data. The suggested methodology's structure is based on technology for order of preference by similarity to ideal solution (TOPSIS), with Fermatean fuzzy sets (F-r FSs) employed to cope with information uncertainty. In this article, authors modified the distance between F-r FSs to propose the similarity measure and implemented it to form the MCDM model to resolve the vague and uncertain data. Moreover, we used this similarity measure to choose the optimal alternative. A practical example for alternative selection is provided, along with a comparison of the acquired findings to existing approach. Finally, to strengthen the outcome obtained through the proposed model, sensitivity analysis and time complexity analysis are performed.
  • Article
    Citation - WoS: 12
    Citation - Scopus: 15
    A Survey on Generalized Topological Indices for Silicon Carbide Structure
    (Hindawi Ltd, 2022) Mahboob, Abid; Siddique, Imran; Altunok, Taner; Waheed Rasheed, Muhammad; Alam, Sajid Mahboob; Jarad, Fahd
    The application of graphs in chemical and molecular structures has exponentially increased during the last few years. Topological indices facilitate the collection of beneficial information and provide an approach to understanding the properties of chemical structure by providing information about algebraic graphs. Let G be a graph with u-vertices and omega u be the degree of uth vertex. In this manuscript, we compute Zagreb index (ZI), first, and second, Hyper F-indices and sum and product connectivity of F-index of silicon carbides, namely, SiC4 - I[r, s] and SiC4 - II[r, s].